Chip has some peaches. He wants to give 4 peaches each to 4 of his friends. But he needs 2 more peaches to do that. How many peaches does Chip have?

He has 14 peaches

Step-by-step explanation:

He wants to give away 4 peaches to 4 friends

4*4 = 16

But he is 2 short

16-2 = 14

He has 14 peaches

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for